Search a number
-
+
20765940 = 22351379337
BaseRepresentation
bin100111100110…
…1110011110100
31110002000111220
41033031303310
520304002230
62021030340
7341336046
oct117156364
943060456
1020765940
11107a3838
126b553b0
1343c0c50
142a87a96
151c52d10
hex13cdcf4

20765940 has 96 divisors (see below), whose sum is σ = 63598080. Its totient is φ = 5031936.

The previous prime is 20765929. The next prime is 20765957. The reversal of 20765940 is 4956702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61452 + ... + 61788.

It is an arithmetic number, because the mean of its divisors is an integer number (662480).

Almost surely, 220765940 is an apocalyptic number.

20765940 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20765940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31799040).

20765940 is an abundant number, since it is smaller than the sum of its proper divisors (42832140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20765940 is a wasteful number, since it uses less digits than its factorization.

20765940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20765940 is about 4556.9660959897. The cubic root of 20765940 is about 274.8635797196.

The spelling of 20765940 in words is "twenty million, seven hundred sixty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 79 130 156 158 195 237 260 316 337 390 395 474 674 780 790 948 1011 1027 1185 1348 1580 1685 2022 2054 2370 3081 3370 4044 4108 4381 4740 5055 5135 6162 6740 8762 10110 10270 12324 13143 15405 17524 20220 20540 21905 26286 26623 30810 43810 52572 53246 61620 65715 79869 87620 106492 131430 133115 159738 262860 266230 319476 346099 399345 532460 692198 798690 1038297 1384396 1597380 1730495 2076594 3460990 4153188 5191485 6921980 10382970 20765940